Question

find the product of the binomials using the appropriate special product.

\\((x^2 + 2)(x^2 - 2)\\)

Explanation:

Identify the special product pattern

Using the Difference of Squares and Special Products knowledge points

$$ (a+b)(a-b) = a^2 - b^2 $$

Substitute the terms into the formula

Using the Difference of Squares knowledge point

$$
LATEXBLOCK0
$$

Simplify the expression

Using the Difference of Squares knowledge point

$$ (x^2)^2 - (2)^2 = x^4 - 4 $$

Answer:

Find the product of the binomials using the appropriate special product.

$$(x^2 + 2)(x^2 - 2) =$$

<blank>\(x^4 - 4\)</blank>